Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ga |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-78098756843520000 = -1 · 214 · 33 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15609701,23732575299] |
[a1,a2,a3,a4,a6] |
j |
-90888126966784/16875 |
j-invariant |
L |
1.6252014510433 |
L(r)(E,1)/r! |
Ω |
0.27086690858182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040g1 11760l1 47040ev1 |
Quadratic twists by: -4 8 -7 |